Complements of Automatic Control

Code:

EM0046

Acronym:

CCA

Keywords
Classification	Keyword
OFICIAL	Automation

Instance: 2007/2008 - 1S

Active?	Yes
Responsible unit:	Automation, Instrumentation and Control Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEM	8	Syllabus since 2006/2007	5	-	6	56	160

Teaching language

Portuguese

Objectives

Specific objectives:
To complement the knowledge on Automatic Control theory, with a specific Mechanical Engineering orientation.

In the end of this subject students shall be able to:
i) model and numerically simulate the time behaviour of dynamic systems;
ii) account for the always present non-linear plant behaviour;
iii) use Computer-Aided Control System Design tools.
iv) numerically implement control algorithms, allowing the use of computer control;
v) identify linear models, in a least squares sense, using system input and output information.

Program

1 Dynamic Systems Mathematical Modelling.
1.1 Lumped parameter models;
1.2 Application to electromechanical servo-actuator modelling.
2 Non-linear Continuous Systems Modelling.
2.1 Linearization around an equilibrium point using Taylor series expansion;
2.2 Examples: Modelling of turbulent flow trough a variable area orifice; Model of a liquid reservoir; Servo-valve flow modelling; Hydraulic servo-system modelling; Introduction to thermal systems modelling;
2.3 Introduction to Matlab/Simulink
3 Non-linear Systems with Discontinuities.
3.1 Some "strange" non-linear behaviours;
3.2 Phase plane analysis;
3.3 Limit-cycles;
3.4 Non-linear discontinuous behaviours;
3.5 Describing Functions;
3.6 Stability analysis using Describing Functions.
4 State-Space Theory.
4.1 State-Space representation of dynamical systems;
4.2 Invariance of the system eigenvalues under a linear transformation;
4.3 Solution of the state equation;
4.4 Diagonalization of the system matrix;
4.5 Controllability and observability of a dynamical system.
5 Modern Control.
5.1 Design of pole-placement controllers using full state feedback;
5.2 The reference tracking problem;
5.3 State observer design.
6 Introduction to Digital Control.
6.1 Introduction to discrete time control systems;
6.2 Sampling characteristics;
6.3 Finite-difference approximations of continuous control algorithms;
6.4 Z transform of a sampled signal;
6.5 Controller synthesis in the pseudo-frequency domain using the w transform;
6.6 State-Space representation of sampled dynamical systems;
6.7 Design of discrete time state feedback controllers and observers.
7 Introduction to System Identification.
7.1 Principles of system identification;
7.2 The Least-Squares principle;
7.3 Batch identification using the Penrose pseudo-inverse.

Mandatory literature

Van de Vegte, John; Feedback control systems. ISBN: 0-13-016379-1
Ogata, Katsuhiko; Modern control engineering. ISBN: 0-13-261389-1

Complementary Bibliography

Astrõm, Karl J.; Computer Controlled Systems. ISBN: 0-13-164302-9
Carvalho, J. L. Martins de; Dynamical systems and automatic control. ISBN: 0-13-221755-4
Merritt, Herbert E.; Hydraulic control systems. ISBN: 0-471-59617-5
Franklin, Gene F.; Digital Control of Dynamic Systems. ISBN: 0-201-02891-3

Teaching methods and learning activities

Two types of lectures are used for:
- subject presentation illustrated by its application to some problem solving exercises;
- experimental demonstration of some automatic control systems and of the use of Computer-Aided Control System Design tools.

Software

Matlab / Simulink

keywords

Technological sciences > Engineering > Process engineering > Process control
Technological sciences > Engineering > Systems engineering > Systems theory
Technological sciences > Engineering > Control engineering

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	56,00
Exam paper	Exame	3,00		2008-02-16
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Regular subject study	Estudo autónomo	63	2008-01-05
Exam paper preparatoty work	Estudo autónomo	40	2008-02-16
	Total:	103,00